Wall clock time and date at job start Sat Apr 11 2020 06:12:50 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 N 1.46904 * 1 3 3 C 1.46900 * 110.99649 * 2 1 4 4 C 1.46891 * 111.00122 * 123.95376 * 2 1 3 5 5 C 1.52995 * 109.47272 * 66.04816 * 4 2 1 6 6 C 1.53009 * 109.47383 * 180.02562 * 5 4 2 7 7 C 1.50694 * 109.46953 * 180.02562 * 6 5 4 8 8 O 1.21277 * 120.00453 * 359.97438 * 7 6 5 9 9 N 1.34780 * 119.99529 * 180.02562 * 7 6 5 10 10 C 1.46509 * 119.99944 * 179.97438 * 9 7 6 11 11 C 1.52991 * 110.28561 * 299.32696 * 10 9 7 12 12 C 1.54262 * 110.32287 * 61.45371 * 10 9 7 13 13 C 1.54377 * 105.05927 * 118.89625 * 12 10 9 14 14 N 1.48552 * 104.59445 * 336.14521 * 13 12 10 15 15 C 1.46902 * 110.99920 * 159.04050 * 14 13 12 16 16 C 1.50702 * 109.47027 * 69.87237 * 15 14 13 17 17 O 1.21293 * 120.00255 * 0.02562 * 16 15 14 18 18 N 1.34777 * 119.99928 * 179.72353 * 16 15 14 19 19 C 1.37101 * 120.00327 * 180.27606 * 18 16 15 20 20 H 1.08001 * 119.99426 * 0.02562 * 19 18 16 21 21 C 1.38942 * 120.00412 * 180.02562 * 19 18 16 22 22 N 1.31414 * 120.00005 * 0.02562 * 21 19 18 23 23 Si 1.86798 * 120.00325 * 179.97438 * 21 19 18 24 24 H 1.48504 * 109.46636 * 60.00069 * 23 21 19 25 25 H 1.48498 * 109.47594 * 180.02562 * 23 21 19 26 26 H 1.48501 * 109.47124 * 300.00305 * 23 21 19 27 27 C 1.48563 * 104.22423 * 39.48587 * 14 13 12 28 28 H 1.08995 * 109.47130 * 296.04201 * 1 2 3 29 29 H 1.09001 * 109.47242 * 56.05032 * 1 2 3 30 30 H 1.09008 * 109.46584 * 176.04704 * 1 2 3 31 31 H 1.09003 * 109.47367 * 183.95487 * 3 2 1 32 32 H 1.09007 * 109.47218 * 303.95330 * 3 2 1 33 33 H 1.08997 * 109.47429 * 63.95373 * 3 2 1 34 34 H 1.09006 * 109.47558 * 306.04733 * 4 2 1 35 35 H 1.08999 * 109.47134 * 186.04919 * 4 2 1 36 36 H 1.08999 * 109.47128 * 60.00356 * 5 4 2 37 37 H 1.09004 * 109.47335 * 299.99664 * 5 4 2 38 38 H 1.08999 * 109.46752 * 60.00060 * 6 5 4 39 39 H 1.09004 * 109.46556 * 300.00075 * 6 5 4 40 40 H 0.96995 * 120.00196 * 359.97438 * 9 7 6 41 41 H 1.09006 * 109.47185 * 180.67440 * 11 10 9 42 42 H 1.09005 * 109.47366 * 300.67027 * 11 10 9 43 43 H 1.09002 * 109.47760 * 60.67469 * 11 10 9 44 44 H 1.09002 * 110.32250 * 359.97438 * 12 10 9 45 45 H 1.08998 * 110.40670 * 237.83735 * 12 10 9 46 46 H 1.09000 * 110.40771 * 217.36703 * 13 12 10 47 47 H 1.08995 * 110.51009 * 94.98023 * 13 12 10 48 48 H 1.09004 * 109.47131 * 309.87481 * 15 14 13 49 49 H 1.08994 * 109.47471 * 189.87230 * 15 14 13 50 50 H 0.97000 * 120.00317 * 0.28382 * 18 16 15 51 51 H 0.96996 * 120.00330 * 179.97438 * 22 21 19 52 52 H 1.08995 * 110.40809 * 79.29078 * 27 14 13 53 53 H 1.08997 * 110.41077 * 201.73969 * 27 14 13 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 7 1.4690 0.0000 0.0000 3 6 1.9954 1.3715 0.0000 4 6 1.9955 -0.7659 1.1375 5 6 1.6316 -2.2425 0.9703 6 6 2.1794 -3.0403 2.1555 7 6 1.8214 -4.4947 1.9904 8 8 1.1900 -4.8576 1.0206 9 7 2.2022 -5.3922 2.9210 10 6 1.8538 -6.8062 2.7608 11 6 0.3339 -6.9768 2.7208 12 6 2.4906 -7.3726 1.4750 13 6 3.4271 -8.5020 1.9551 14 7 3.7427 -8.1530 3.3642 15 6 4.1977 -9.3341 4.1098 16 6 5.5603 -9.7462 3.6153 17 8 6.0996 -9.1175 2.7292 18 7 6.1824 -10.8096 4.1618 19 6 7.4245 -11.1811 3.7158 20 1 7.9046 -10.6212 2.9268 21 6 8.0656 -12.2777 4.2788 22 7 7.4811 -12.9592 5.2385 23 14 9.7576 -12.7842 3.6707 24 1 10.7127 -11.6658 3.8763 25 1 10.2195 -13.9756 4.4274 26 1 9.6855 -13.1142 2.2246 27 6 2.4592 -7.6411 3.9097 28 1 -0.3633 0.4512 0.9233 29 1 -0.3634 0.5739 -0.8525 30 1 -0.3633 -1.0253 -0.0709 31 1 3.0828 1.3434 -0.0709 32 1 1.5897 1.9164 -0.8525 33 1 1.7043 1.8724 0.9233 34 1 1.5612 -0.3872 2.0628 35 1 3.0797 -0.6610 1.1756 36 1 2.0660 -2.6213 0.0451 37 1 0.5473 -2.3475 0.9323 38 1 1.7446 -2.6614 3.0804 39 1 3.2637 -2.9353 2.1939 40 1 2.7069 -5.1020 3.6968 41 1 0.0896 -8.0336 2.6135 42 1 -0.0990 -6.5959 3.6459 43 1 -0.0718 -6.4223 1.8745 44 1 3.0620 -6.5985 0.9628 45 1 1.7216 -7.7735 0.8148 46 1 4.3371 -8.5219 1.3555 47 1 2.9197 -9.4655 1.9065 48 1 3.4937 -10.1525 3.9590 49 1 4.2538 -9.0942 5.1716 50 1 5.7513 -11.3123 4.8706 51 1 7.9285 -13.7249 5.6313 52 1 1.7985 -8.4688 4.1671 53 1 2.6404 -7.0127 4.7816 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001716847833.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:12:50 Heat of formation + Delta-G solvation = -63.613010 kcal Electronic energy + Delta-G solvation = -29800.385300 eV Core-core repulsion = 25706.957325 eV Total energy + Delta-G solvation = -4093.427975 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -40.48956 -38.88415 -38.02492 -37.48113 -34.60678 -33.77663 -33.52111 -31.58513 -31.13972 -29.54236 -27.99011 -27.64506 -27.60231 -25.33603 -24.01092 -23.51016 -21.49169 -21.25533 -20.55543 -19.57546 -19.03055 -17.84235 -17.19446 -16.45044 -16.30640 -15.95516 -15.66907 -15.37824 -15.17597 -14.95714 -14.61154 -14.45941 -14.07905 -13.95732 -13.72779 -13.70466 -13.22352 -12.99267 -12.77099 -12.70562 -12.49098 -12.35316 -12.14986 -12.04967 -11.99970 -11.88312 -11.69789 -11.54402 -11.50069 -11.44175 -11.08005 -10.96565 -10.90538 -10.86231 -10.60857 -10.43365 -10.20619 -9.68470 -9.47623 -9.07435 -8.73692 -8.50592 -8.03288 -7.93787 -6.40817 -3.81598 2.61913 3.05907 3.20665 3.26202 3.30664 3.62013 3.91179 4.02443 4.26340 4.37921 4.55032 4.65076 4.75102 4.80354 4.81549 4.97527 4.99801 5.06220 5.10221 5.12933 5.23189 5.25628 5.29262 5.34381 5.35737 5.38399 5.42772 5.48744 5.52542 5.58043 5.62530 5.69284 5.76825 5.81171 5.84675 5.88001 6.03443 6.07693 6.15607 6.25982 6.30800 6.48881 6.58740 6.63933 6.66267 7.10111 7.18338 7.50654 7.55800 8.06895 8.22422 8.62902 9.19147 9.55383 10.07560 10.76913 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.019333 B = 0.001795 C = 0.001692 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1447.942897 B =15594.040506 C =16543.208778 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.020 3.980 2 N -0.548 5.548 3 C 0.024 3.976 4 C 0.053 3.947 5 C -0.100 4.100 6 C -0.141 4.141 7 C 0.515 3.485 8 O -0.538 6.538 9 N -0.714 5.714 10 C 0.173 3.827 11 C -0.156 4.156 12 C -0.117 4.117 13 C 0.036 3.964 14 N -0.482 5.482 15 C 0.034 3.966 16 C 0.445 3.555 17 O -0.577 6.577 18 N -0.565 5.565 19 C -0.299 4.299 20 H 0.102 0.898 21 C 0.022 3.978 22 N -0.903 5.903 23 Si 0.930 3.070 24 H -0.274 1.274 25 H -0.285 1.285 26 H -0.274 1.274 27 C 0.028 3.972 28 H 0.024 0.976 29 H 0.066 0.934 30 H 0.074 0.926 31 H 0.069 0.931 32 H 0.067 0.933 33 H 0.024 0.976 34 H 0.033 0.967 35 H 0.076 0.924 36 H 0.080 0.920 37 H 0.069 0.931 38 H 0.089 0.911 39 H 0.095 0.905 40 H 0.401 0.599 41 H 0.063 0.937 42 H 0.054 0.946 43 H 0.078 0.922 44 H 0.075 0.925 45 H 0.073 0.927 46 H 0.100 0.900 47 H 0.038 0.962 48 H 0.050 0.950 49 H 0.089 0.911 50 H 0.392 0.608 51 H 0.272 0.728 52 H 0.057 0.943 53 H 0.084 0.916 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.400 21.214 -1.978 26.887 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.128 4.128 2 N -0.272 5.272 3 C -0.124 4.124 4 C -0.074 4.074 5 C -0.138 4.138 6 C -0.182 4.182 7 C 0.301 3.699 8 O -0.415 6.415 9 N -0.366 5.366 10 C 0.087 3.913 11 C -0.215 4.215 12 C -0.156 4.156 13 C -0.092 4.092 14 N -0.206 5.206 15 C -0.098 4.098 16 C 0.230 3.770 17 O -0.461 6.461 18 N -0.202 5.202 19 C -0.428 4.428 20 H 0.120 0.880 21 C -0.179 4.179 22 N -0.544 5.544 23 Si 0.758 3.242 24 H -0.199 1.199 25 H -0.210 1.210 26 H -0.199 1.199 27 C -0.101 4.101 28 H 0.042 0.958 29 H 0.085 0.915 30 H 0.093 0.907 31 H 0.087 0.913 32 H 0.086 0.914 33 H 0.042 0.958 34 H 0.051 0.949 35 H 0.094 0.906 36 H 0.098 0.902 37 H 0.088 0.912 38 H 0.107 0.893 39 H 0.113 0.887 40 H 0.236 0.764 41 H 0.082 0.918 42 H 0.073 0.927 43 H 0.097 0.903 44 H 0.094 0.906 45 H 0.091 0.909 46 H 0.118 0.882 47 H 0.057 0.943 48 H 0.068 0.932 49 H 0.107 0.893 50 H 0.225 0.775 51 H 0.081 0.919 52 H 0.075 0.925 53 H 0.102 0.898 Dipole moment (debyes) X Y Z Total from point charges -15.814 21.357 -3.555 26.811 hybrid contribution 0.005 -0.803 1.516 1.715 sum -15.809 20.554 -2.039 26.010 Atomic orbital electron populations 1.22460 0.87326 1.02748 1.00262 1.61936 1.08153 1.13725 1.43336 1.22388 1.00890 0.88754 1.00393 1.22185 1.00287 0.93893 0.91079 1.21313 1.01861 0.92489 0.98138 1.21639 1.03432 0.92212 1.00881 1.20568 0.78967 0.87914 0.82431 1.90674 1.39777 1.80897 1.30114 1.46151 1.57426 1.07265 1.25770 1.20981 0.94333 0.80381 0.95609 1.22187 0.94002 1.02333 1.02949 1.22664 0.98373 0.98378 0.96223 1.23212 0.99839 0.95719 0.90429 1.65174 1.24429 1.28899 1.02123 1.22070 0.96742 0.91966 0.99023 1.19678 0.87404 0.83489 0.86402 1.90510 1.67346 1.55173 1.33032 1.41848 1.17389 1.26182 1.34788 1.19645 0.93053 1.11310 1.18819 0.87999 1.25245 1.00050 0.96329 0.96292 1.69602 1.39145 1.19985 1.25687 0.85923 0.81676 0.77923 0.78725 1.19913 1.20995 1.19943 1.23431 0.91468 0.98351 0.96858 0.95768 0.91489 0.90747 0.91255 0.91369 0.95774 0.94873 0.90599 0.90171 0.91208 0.89258 0.88698 0.76407 0.91810 0.92731 0.90286 0.90612 0.90868 0.88189 0.94337 0.93177 0.89305 0.77536 0.91862 0.92499 0.89788 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C 0.02 0.14 9.32 60.07 0.56 0.70 16 2 N -0.55 -4.45 5.02 -251.26 -1.26 -5.71 16 3 C 0.02 0.15 9.57 60.06 0.57 0.73 16 4 C 0.05 0.39 4.96 -3.83 -0.02 0.38 16 5 C -0.10 -0.86 4.43 -26.73 -0.12 -0.98 16 6 C -0.14 -1.08 5.70 -27.88 -0.16 -1.24 16 7 C 0.51 5.67 6.99 -10.99 -0.08 5.59 16 8 O -0.54 -7.69 13.27 5.56 0.07 -7.61 16 9 N -0.71 -7.39 5.10 -46.33 -0.24 -7.63 16 10 C 0.17 2.04 1.01 -130.44 -0.13 1.91 16 11 C -0.16 -1.67 8.17 37.15 0.30 -1.36 16 12 C -0.12 -1.66 5.48 -25.35 -0.14 -1.80 16 13 C 0.04 0.59 5.80 -2.19 -0.01 0.58 16 14 N -0.48 -7.84 5.06 -231.42 -1.17 -9.01 16 15 C 0.03 0.59 5.30 -4.97 -0.03 0.57 16 16 C 0.45 10.46 7.58 -10.98 -0.08 10.38 16 17 O -0.58 -15.56 14.42 5.55 0.08 -15.48 16 18 N -0.57 -14.28 5.29 -10.96 -0.06 -14.34 16 19 C -0.30 -8.33 9.68 -14.93 -0.14 -8.47 16 20 H 0.10 2.98 7.16 -52.49 -0.38 2.60 16 21 C 0.02 0.60 5.50 -17.47 -0.10 0.50 16 22 N -0.90 -24.50 13.05 55.50 0.72 -23.77 16 23 Si 0.93 21.10 29.55 -169.99 -5.02 16.07 16 24 H -0.27 -6.18 7.11 56.52 0.40 -5.77 16 25 H -0.28 -6.29 7.11 56.52 0.40 -5.89 16 26 H -0.27 -6.19 7.11 56.52 0.40 -5.78 16 27 C 0.03 0.33 5.69 -2.18 -0.01 0.32 16 28 H 0.02 0.16 8.14 -51.93 -0.42 -0.27 16 29 H 0.07 0.42 8.12 -51.93 -0.42 0.00 16 30 H 0.07 0.56 6.47 -51.92 -0.34 0.22 16 31 H 0.07 0.41 8.12 -51.93 -0.42 -0.01 16 32 H 0.07 0.39 8.12 -51.92 -0.42 -0.03 16 33 H 0.02 0.14 8.14 -51.93 -0.42 -0.28 16 34 H 0.03 0.22 8.12 -51.93 -0.42 -0.20 16 35 H 0.08 0.53 8.06 -51.93 -0.42 0.11 16 36 H 0.08 0.86 8.10 -51.93 -0.42 0.44 16 37 H 0.07 0.65 6.51 -51.93 -0.34 0.32 16 38 H 0.09 0.50 8.14 -51.93 -0.42 0.08 16 39 H 0.09 0.64 8.14 -51.93 -0.42 0.22 16 40 H 0.40 3.37 8.26 -40.82 -0.34 3.03 16 41 H 0.06 0.64 8.13 -51.93 -0.42 0.21 16 42 H 0.05 0.51 8.14 -51.93 -0.42 0.09 16 43 H 0.08 0.98 6.31 -51.93 -0.33 0.65 16 44 H 0.08 1.19 7.31 -51.93 -0.38 0.81 16 45 H 0.07 0.99 7.71 -51.93 -0.40 0.59 16 46 H 0.10 1.97 6.91 -51.93 -0.36 1.61 16 47 H 0.04 0.61 7.82 -51.93 -0.41 0.20 16 48 H 0.05 0.80 7.88 -51.93 -0.41 0.39 16 49 H 0.09 1.39 8.13 -51.93 -0.42 0.97 16 50 H 0.39 9.44 7.90 -40.82 -0.32 9.12 16 51 H 0.27 7.00 8.31 -40.82 -0.34 6.66 16 52 H 0.06 0.63 7.71 -51.93 -0.40 0.23 16 53 H 0.08 0.88 7.75 -51.93 -0.40 0.47 16 LS Contribution 416.88 15.07 6.28 6.28 Total: -1.00 -33.03 416.88 -9.58 -42.61 By element: Atomic # 1 Polarization: 20.21 SS G_CDS: -9.41 Total: 10.79 kcal Atomic # 6 Polarization: 7.37 SS G_CDS: 0.42 Total: 7.79 kcal Atomic # 7 Polarization: -58.45 SS G_CDS: -2.00 Total: -60.45 kcal Atomic # 8 Polarization: -23.25 SS G_CDS: 0.15 Total: -23.10 kcal Atomic # 14 Polarization: 21.10 SS G_CDS: -5.02 Total: 16.07 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -33.03 -9.58 -42.61 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC001716847833.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -21.003 kcal (2) G-P(sol) polarization free energy of solvation -33.026 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -54.030 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.583 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.610 kcal (6) G-S(sol) free energy of system = (1) + (5) -63.613 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds